{"id":"https://openalex.org/W2021965139","doi":"https://doi.org/10.1137/s0036142900367065","title":"Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions","display_name":"Multiplier Spaces for the Mortar Finite Element Method in Three Dimensions","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2021965139","doi":"https://doi.org/10.1137/s0036142900367065","mag":"2021965139"},"language":"en","primary_location":{"id":"doi:10.1137/s0036142900367065","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900367065","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048413817","display_name":"Chisup Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Chisup Kim","raw_affiliation_strings":["Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077310702","display_name":"Raytcho Lazarov","orcid":"https://orcid.org/0000-0002-4911-3685"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Raytcho D. Lazarov","raw_affiliation_strings":["Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A","institution_ids":["https://openalex.org/I1282311441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113545293","display_name":"Joseph E. Pasciak","orcid":null},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph E. Pasciak","raw_affiliation_strings":["Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A","Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A","institution_ids":["https://openalex.org/I1282311441"]},{"raw_affiliation_string":"Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027636165","display_name":"Panayot S. Vassilevski","orcid":"https://orcid.org/0000-0002-5294-7242"},"institutions":[{"id":"https://openalex.org/I1282311441","display_name":"Lawrence Livermore National Laboratory","ror":"https://ror.org/041nk4h53","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282311441","https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210138311"]},{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panayot S. Vassilevski","raw_affiliation_strings":["Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Texas A & M University, College Station, TX 77843, USA","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P. O. Box 808, L-560, Livermore, CA 94551, U.S.A","institution_ids":["https://openalex.org/I1282311441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.1566,"has_fulltext":false,"cited_by_count":91,"citation_normalized_percentile":{"value":0.98806487,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"2","first_page":"519","last_page":"538"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11263","display_name":"Electromagnetic Simulation and Numerical Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8751298189163208},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.7422254085540771},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7117453813552856},{"id":"https://openalex.org/keywords/mortar-methods","display_name":"Mortar methods","score":0.6798667907714844},{"id":"https://openalex.org/keywords/mortar","display_name":"Mortar","score":0.669620156288147},{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.5569234490394592},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4508034586906433},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3876894414424896},{"id":"https://openalex.org/keywords/mixed-finite-element-method","display_name":"Mixed finite element method","score":0.2837013602256775},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22652217745780945},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07261425256729126}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8751298189163208},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.7422254085540771},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7117453813552856},{"id":"https://openalex.org/C97110765","wikidata":"https://www.wikidata.org/wiki/Q17099078","display_name":"Mortar methods","level":4,"score":0.6798667907714844},{"id":"https://openalex.org/C130767629","wikidata":"https://www.wikidata.org/wiki/Q7905205","display_name":"Mortar","level":2,"score":0.669620156288147},{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.5569234490394592},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4508034586906433},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3876894414424896},{"id":"https://openalex.org/C144468803","wikidata":"https://www.wikidata.org/wiki/Q16965966","display_name":"Mixed finite element method","level":3,"score":0.2837013602256775},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22652217745780945},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07261425256729126},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/s0036142900367065","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0036142900367065","pdf_url":null,"source":{"id":"https://openalex.org/S203348814","display_name":"SIAM Journal on Numerical Analysis","issn_l":"0036-1429","issn":["0036-1429","1095-7170"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Numerical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.27.2589","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.27.2589","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://pasciak.math.tamu.edu/~pasciak/papers/cskim.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.31.7720","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.31.7720","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.isc.tamu.edu/iscpubs/0007.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.516.3084","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.516.3084","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://isc.tamu.edu/publications-reports/tr/0007.pdf","raw_type":"text"},{"id":"pmh:oai:oaktrust.library.tamu.edu:1969.1/182688","is_oa":false,"landing_page_url":"https://hdl.handle.net/1969.1/182688","pdf_url":null,"source":{"id":"https://openalex.org/S4306400291","display_name":"OakTrust (Texas A&M University Libraries)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I91045830","host_organization_name":"Texas A&M University","host_organization_lineage":["https://openalex.org/I91045830"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5699999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1492326914","https://openalex.org/W1512418819","https://openalex.org/W1545082185","https://openalex.org/W1547166419","https://openalex.org/W1565460255","https://openalex.org/W1570966844","https://openalex.org/W1586623601","https://openalex.org/W1597209545","https://openalex.org/W1983736959","https://openalex.org/W1989331860","https://openalex.org/W1991647816","https://openalex.org/W1993077381","https://openalex.org/W2017437995","https://openalex.org/W2017703114","https://openalex.org/W2039892436","https://openalex.org/W2042732056","https://openalex.org/W2045656285","https://openalex.org/W2050222014","https://openalex.org/W2058520710","https://openalex.org/W2075108106","https://openalex.org/W2081305152","https://openalex.org/W2094281210","https://openalex.org/W2114612290","https://openalex.org/W2199169705","https://openalex.org/W2314343349","https://openalex.org/W4292166829"],"related_works":["https://openalex.org/W1557607869","https://openalex.org/W2366350639","https://openalex.org/W2376992165","https://openalex.org/W2784995402","https://openalex.org/W3016132316","https://openalex.org/W2056259617","https://openalex.org/W3174219354","https://openalex.org/W2369958925","https://openalex.org/W2313801317","https://openalex.org/W2409928099"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,10,33,65,74,80],"construction":[3],"of":[4,27,49,76],"multiplier":[5,34],"spaces":[6,35],"for":[7,32],"use":[8],"with":[9],"mortar":[11,45],"finite":[12,71],"element":[13],"method":[14],"in":[15],"three":[16],"spatial":[17],"dimensions":[18],"on":[19,70],"globally":[20],"or":[21],"locally":[22],"quasi-uniform":[23],"meshes.":[24],"A":[25],"set":[26],"abstract":[28],"conditions":[29,53],"is":[30,59],"given":[31],"which":[36],"are":[37,54,68,82],"sufficient":[38],"to":[39],"guarantee":[40],"a":[41,60],"stable":[42],"and":[43],"convergent":[44],"approximation.":[46],"Three":[47],"examples":[48,78],"multipliers":[50],"satisfying":[51],"these":[52],"presented.":[55],"The":[56],"first":[57],"one":[58],"dual":[61],"basis":[62],"example,":[63],"while":[64],"remaining":[66],"two":[67],"based":[69],"volumes.":[72],"Finally,":[73],"results":[75],"computational":[77],"illustrating":[79],"theory":[81],"reported.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}